Answers
Answer:
Step-by-step explanation:
Basically for questions like these, you have to make the denominator a whole number with no surds, so you multiply it by the same numbers but change the sign. Whatever you do at the bottom you have to do at the top so
[tex]\frac{3(\sqrt{5}-\sqrt{2}) }{\sqrt{5} +\sqrt{2} (\sqrt{5}-\sqrt{2} )}[/tex]
and then you expand
Step-by-step explanation:
3/(√5+√2) = 3/(√5+√2) × (√5-√2)/(√5-√2)
= 3(√5-√2)/5-2 = 3(√5-√2)/3 = √5-√2 answer:-
hope this helps you.
Related Questions
Use the Distributie
Property to express
27 + 60
Answers
May I please receive help?
Answers
1) A builder laying the foundations of a garage wants to be sure he has the walls of the garage are at right angles. The length of the garage is 6m and the width is 5cm.
Explain how measuring the length will check that the walls of the garage meet at right angles.
Answers
Answer:
you're thinking about buying a house but you really want to figure out how much area does a house cover what is the the square footage of the house or what is the area of the foundation of the house so right here we have the floor plan of the house and you're tasked with finding its area and you're given the dimensions of a bunch of walls of the house this wall right here is 18 feet this is 8 feet this is 20 feet 20 feet 5 feet 26 feet 15 feet and 25 feet but you're a little confused you know how to find the area of rectangles but how do you find an area of a strange shape like this so I encourage you to pause this video and try to figure out the area of this strange house footprints shape for plan shape using the techniques that you already know about so what you already do know about is how to find the area of rectangles so if we can break this houses floorplan into a series of rectangles and find out the areas of those rectangles then we can figure out the area of this entire house so let's break it into a bunch of simpler rectangles so I could have one rectangle here it has a width of 20 feet and it has a length of 20 feet so that would be a rectangle right over there and we should be able to figure out its area then I could set up another rectangle that has a width of 26 feet and has a length that's it's length right over there and we could think about in a second what that length actually is actually let's think about that how would we figure out what this length actually is well this this length plus 5 feet is going to be the same thing as this length over here is the same as the opposite wall of this of this rectangle so this length Plus 5 feet is 20 feet well this must be 15 feet so this blue rectangle is 15 feet long and 26 feet wide now let's add another rectangle we could have one that's 18 feet long and then goes the entire length of the house goes the entire length of the house like that and you might say wait how do we figure out its width how do we figure out the width of this rectangle well we know that this is 8 feet we know that this is 20 feet and we know that this is 26 feet so the entire width is going to be 26 feet plus 20 feet so 26 plus 20 gets us to 46 plus 8 gets us to 54 feet so this is 54 54 feet right over here did I do that right let's see 8 plus 36 would be 34 plus 20 is 54 feet and then finally we have one last rectangle to deal with this rectangle right over here which is 15 feet long and 25 and 25 feet wide and so now we can calculate the areas of the different rectangles so the total area is going to be the 20 feet by the 20 feet so let's just multiply them so it's going to be 20 times 20 that's this area right over here plus 15 times 26 so plus 15 times 26 that's this area right over there plus 18 times 54 plus 18 times 54 which is this area right over there and then finally plus 15 times 25 plus 15 times 25 which is this area this area right over here so we just have to now evaluate these things so what is 20 times 20 well this is going to be 400 what's 15 times 26 let's multiply it out 26 times 15 6 times 5 is 30 2 times 5 is 10 plus 3 is 13 now I'm going to multiply a 10 times 26 gets us to 260 and you add these two together you get 390 so it's 400 plus 390 now we've got to multiply 18 times 54 54 times 18 so let's do that 54 times 18 8 times 4 is 32 8 times five is 40 plus three is 43 now we're multiplying this 10 times 54 gets us to 540 and we add 2 plus 0 is 2 this 30 plus the 40 gets us to a 70 is or it's a 3 plus a 4 in the tens place and then 400 plus 500 is 900 so we get to 972 and one more of these multiplications 25 times 25 times 15 and actually we could do that in our head this is 26 times 15 so 25 times 15 is going to be this minus 15 so it's going to be 300 you see if you subtract 10 you get to 380 subtract another 5 375 let me do it in that same color so plus plus 375 and now let's add up these numbers so we have 375 plus 972 plus three hundred and ninety 390 plus 400 plus 400 and so this gets us to five this is the homestretch we deserve a drum roll now 5 plus 2 is 7 7 plus 7 is 14 plus 9 is 23 2 plus 3 is 5 plus 9 is 14 17 21 so the square footage of this house 2137 square square feet
if alpha and beta are the zeroes of the polynomial f(x)=ax2+bx+c then 1/alpha+1/beta
Answers
Answer:
[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]
Step-by-step explanation:
Given that , α and ß are the zeroes of the polynomial ,
[tex]\longrightarrow f(x) = ax^2+bx + c [/tex]
As , we know that ,
Sum of zeroes = -b/a Product of zeroes = c/aWe need to find out the Value of ,
[tex]\longrightarrow \dfrac{1}{\alpha}+\dfrac{1}{\beta} [/tex]
On simplifying ,
[tex]\longrightarrow \dfrac{ \alpha +\beta }{\alpha\beta} [/tex]
Substitute ,
[tex]\longrightarrow \dfrac{\frac{-b}{a}}{\frac{c}{a}}[/tex]
Cancel " a" in numerator and denominator ,
[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]
Donald Trump wants to build a 100 meter high tower as quickly as possible. He has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.
He has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. The blocks interlock on top and bottom (like legos). They cannot be stacked sideways or on their ends.
Using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are.
What is the shortest amount of time (weeks) that it will take to build the tower?
I looked up the answer, and everywhere it says that it is 10 weeks, but would it work with 1 stack of 100 blocks (1 week)?
Answers
Answer: 100 weeks
Step-by-step explanation: I think this is like a trick question or what not. I’m going to give you my best answer. It takes 1 week to stack a block and he wants it to be 100 meter tall. 1 block is one meter tall and since it takes 1 week per stack you would do 100 x 1 equals to 100 weeks. I know it says the shortest time but thats my best guess
It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
Time per block x total blocks = Total time1 week x 100 = X100 weeks = XTherefore, it will take 100 weeks to build the tower.
Learn more in https://brainly.com/question/2263981
Find the discriminant of x 2 − 10 x + 3 = 0 .
Answers
Answer:
Two distinct real roots
Step-by-step explanation:
Rearrange terms in descending order: [tex]x^{2} -10x+3=0[/tex]
Find discriminant of quadratic equation through (b^2-4ac ): Δ[tex]=b^{2} -4ac[/tex]
Identify a,b,c througn coefficient: [tex]\left \{ {{A=1} \atop {B=-10}} \atop {{c=3}\right.[/tex]
Substitute the value of a,b,c and calculate discriminant: Δ=88
Determine number of solution through discriminant: two distinct real roots
Answer: two distinct real roots
What is the circumference formula?
Answers
Answer:
2π
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle.
Step-by-step explanation:
brailiest pls
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
formula to find circumference of a circle :
[tex] 2\pi {r}^{} [/tex]where, r is radius of the given circle.
the 1996 population of San Diego, California, was estimated to be about 1,170,000. This was about 3/7 of the estimate for Chicago. What was the approximate of Chicago?
Answers
Dilation of 1.5 about the origin
Answers
Answer:
option c.
...............
x/x+2-4/x-2=1
I forgot how to do these types of questions.
Answers
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]\frac{x}{x}+2-\frac{4}{x}-2=1[/tex]
Step 1: Subtract [tex]2\:-2[/tex] from both sides
[tex]\frac{x}{x}+2-\frac{4}{x}-2-\left(2-2\right)=1-\left(2-2\right)\\\\\frac{x}{x}-\frac{4}{x}=1[/tex]
x over x is 1
[tex]1-\frac{4}{x}=1[/tex]
Step 2: Multiply both sides by [tex]x[/tex]
[tex]1\cdot \:x-\frac{4}{x}x=1\cdot \:x\\\\x-4=x[/tex]
And when you solve for [tex]x-4=x[/tex], the answer is [tex]\mathrm{No\:Solution}[/tex], NOT THERE IS NO SOLUTION.
How to solve piecewise functions
Answers
(x-4,-2,2),(y-2 -2,2)
Step-by-step explanation:
the piocewise function here is -2
During a fund-raising campaign, three sections in Kapayapaan Integrated School collected 125 12 kg, 163 23 kg, and 119 45 kg of newspaper. How many kilograms of newspaper did they collect? If they sold the newspaper at P5.00 a kg, how much in all did they get?
plz add u'r solutions
Answers
Answer:
81.4
Step-by-step explanation:
ADD THE 125 KG, 163 KG, AND 119
125 + 163 + 199 = 407
THEN DIVIDE IT TO p5.00
ans is (81.4).
1) Pirate Pete found some rubies in a tin.
He gave one third of his rubies to his mate and one fifth to the bosun.
He kept the other 28 rubies.
How many rubies did the bosun get? Innded on a treasure island.
PLS ANSWER ASAP
Answers
Answer:
12
Step-by-step explanation:
The total amount in the tin has to be divisible by 5 and 3, so take numbers that are divisible by 5 and 3 and see if the sum works out. It doesn't work for 15, 30, or 45. If you try it with 60, you get this:
60 rubies in the tin.
Mate gets a third, so 20.
Bosun gets a fifth, so 12.
Pirate gets 28.
Add these three numbers together, 20 + 12 + 28 = 60. That sum works, so the bosun gets 12.
How can I answer this question?
Answers
Answer:
155⁰
Step-by-step explanation:
total angle in a triangle = 180
120 +35 =155
180-155=25
streight line =180⁰
180-25=155⁰
Answer:
y=155
Step-by-step explanation:
Triangle = 180°
180°-120°-35° = 25°
Line = 180° - 25°
= 155°
if a = 3, b = 2 and c = -2 what is 3b + 4c (answer in comments not a link please)
Answers
For this, we can simply take the values from the problem and plug them into the equation.
Since “a” is not part of the problem, we do not have worry about the value of a. When we plug in the values we get:
3(2) + 4(-2) = -2
find the equation of the line that passes through the point 0,8 and whose slope is 1.
Answers
Answer:
y = x + 8
Step-by-step explanation:
Figure ABCD is transformed to obtain figure A′B′C′D′:
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answers
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
6. Write and solve a system of THREE Inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookles as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookes for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answers
Answer: uh.. 3?
Step-by-step explanation:
lol
If an airplane is flying at 1000ft, and dives 400ft, what elevation is it flying?
Answers
Answer: 9,600 ft
Step-by-step explanation:
10,000 - 400= 9600
Explanation:
1,000ft - 400ft = 9,600ft
Name the values of A, B, and C when y=900+300x is written in standard form
Answers
Answer:
300x - y = -900
Step-by-step explanation:
The values of A, B, and C are 300, -1, and -900 respectively when the standard form of the equation is 300x - y = -900.
What is a standard form of an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The formula for a one-variable linear equation is written as Ax + BY = C, where a and b are constants and x is the variable.
Given equation is y = 900 + 300x, the standard form of the equation can be written as:-
Ax + Bx = C
y = 900 + 300x
Convert the above equation into standard form.
-300x + y = 900
Compare the equation to get A, B, and C.
A = -300
B = 1
C = 900
Therefore, the values of A, B, and C are 300, -1, and -900 respectively when the standard form of the equation is 300x - y = -900.
To know more about the standard form of an equation follow
https://brainly.ph/question/6901186
#SPJ5
Simplify: 1417
1
113-(-7)
5
Answers
Answer:
= 5
Step-by-step explanation:
Look at picture that I attached for steps
how many 3\4 are in 1
Answers
Answer:
I don't really understand your question
Step-by-step explanation:
but if I were to guess 0.75 or 1.25
Simplify
53
Enter your answer in the box
Answers
Answer:
we need more information
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
which relations are functions
Answers
Answer:
Both relations in the picture are not functions
Step-by-step explanation:
PLSSSS HELP REALLY DESPERATE!!!!❤️
Answers
Answer:which one..?
Step-by-step explanation:
Rate BRAINLIEST
1.) c= 180-64
=116
b=64
d=100
e=65
2.) a=39
b=122
c=69
A dilation is given by the transformation (x, y) →
(.75x, .75y). What type of dilation is this?
A) it is not a dilation
B) reduction
C) enlargement
Answers
Explanation:
We're multiplying each coordinate by 0.75, which is a value between 0 and 1. Whenever the scale factor is between 0 and 1, we always have a reduction. In this case, the linear dimensions are decreasing by 25% because 1-0.75 = 0.25 = 25%
So for instance, if the preimage had a side length of 12, then 0.75*12 = 9 is the corresponding image length. This is a reduction of 12-9 = 3. Then note how 3/12 = 0.25 = 25% is how much of a reduction we're dealing with.
Plz help me answer this extra weird question.
Answers
Answer:
m=-3
y-intercept (0,-1)
Step-by-step explanation:
Answer: -1/3 - y/3
Step-by-step explanation:
How do you do 62? Someone help and give me explanation
Answers
p = 5
is J.
hope it helps :)
solve this pls. ill give a brainly
Answers
Answer:
-3 1/4 + 4 3/4
Step-by-step explanation:
Enter the number in scientific notation.
8,420,000=
X10
Answers
Answer:
8,420,000 = 8.42*10⁶
Step-by-step explanation:
(1-10)*10ˣ is the rule with scientific notation